Which component is essential for establishing a wireless network?

A wireless router is fundamental for establishing a wireless network because it serves as the central hub that connects multiple devices to the internet wirelessly. The router communicates with devices such as computers, smartphones, and tablets, allowing them to access the internet without the need for wired connections. It also facilitates the communication between devices on the same network, enabling file sharing, and printing, and allowing local network games.

While a modem is essential for internet connectivity by connecting to the Internet Service Provider (ISP), it doesn't provide the wireless capabilities. A personal computer is not necessary for the network itself to function, as the network can support various devices. A Wi-Fi adapter is important for individual devices to access the wireless network but does not create or manage the network. Thus, the wireless router is the key component that makes the establishment of a wireless network possible.